Differential Equation Tapestries

The infamous and very useful equation to move from volume integral to surface integral.

The infamous and very useful equation to move from volume integral to surface integral.

The infamous and very useful equation to move from contour integral to surface integral, also known as Stokes theorem.

The infamous and very useful equation to move from contour integral to surface integral, also known as Stokes theorem.

The simple differential equation modeling the RLC circuit made of a capacitor, an inductor and a resistor without a generator.

The simple differential equation modeling the RC circuit made of a capacitor and a resistor without a generator.

The simple differential equation modeling the RLC circuit made of a capacitor, an inductor and a resistor without a generator.

The simple differential equation modeling the RC circuit made of a capacitor and a resistor without a generator.

The equation of the geodesic, the equation describing the smallest distance between two points in any geometry.

The equation of the geodesic, the equation describing the smallest distance between two points in any geometry.

Merry Newtonmas

d'Alembert wave equation that describes almost all waves, mechanic and electromagnetic, in the absence of friction or loss of energy.

d'Alembert wave equation that describes almost all waves, mechanic and electromagnetic, in the absence of friction or loss of energy.

The Jacobian matrix made out of the different partial derivatives of the components of the function, which is used in solving linear partial differential equations, and other problems in mathematics

The Hessian matrix made out of the different partial derivatives of the components of the function, which is used in determining the local curvature of a many variable function.

The Hessian matrix made out of the different partial derivatives of the components of the function, which is used in determining the local curvature of a many variable function.

The Jacobian matrix made out of the different partial derivatives of the components of the function, which is used in solving linear partial differential equations, and other problems in mathematics

Deriving d'Alembert wave equation of electric field from Maxwell's equations.

Deriving d'Alembert wave equation of electric field from Maxwell's equations.

The definition of Nabla operator, from which we can extract most of differential operators, such as gradient and Laplace operator.

The definition of Nabla operator, from which we can extract most of differential operators, such as gradient and Laplace operator.

Sometimes you're a bit too obtuse, and you'll never be right.

The famous formula of radioactive decay, that has numerous applications, from medicine, to learning about the history of Earth and understanding the universe.

The famous formula of radioactive decay, that has numerous applications, from medicine, to learning about the history of Earth and understanding the universe.

Faraday law of electromagnetic induction which is the founding block of almost all the engineering we use, from electrical to mechanical engineering.

Faraday law of electromagnetic induction which is the founding block of almost all the engineering we use, from electrical to mechanical engineering.

In the late 18th century, Scottish physicist James Clerk Maxwell produced a set of equations that form the basis of the electromagnetic field. Maxwell's equations are important because they provide the foundation for modern physics.

In the late 18th century, Scottish physicist James Clerk Maxwell produced a set of equations that form the basis of the electromagnetic field. Maxwell's equations are important because they provide the foundation for modern physics.

In the late 18th century, Scottish physicist James Clerk Maxwell produced a set of equations that form the basis of the electromagnetic field. Maxwell's equations are important because they provide the foundation for modern physics.

In the late 18th century, Scottish physicist James Clerk Maxwell produced a set of equations that form the basis of the electromagnetic field. Maxwell's equations are important because they provide the foundation for modern physics.

In the late 18th century, Scottish physicist James Clerk Maxwell produced a set of equations that form the basis of the electromagnetic field. Maxwell's equations are important because they provide the foundation for modern physics.

In the late 18th century, Scottish physicist James Clerk Maxwell produced a set of equations that form the basis of the electromagnetic field. Maxwell's equations are important because they provide the foundation for modern physics.